On homogeneous CR manifolds and their CR algebras

dc.creatorAltomani, Andrea
dc.creatorMedori, Costantino
dc.date2005-10-28
dc.date2005-12-19
dc.date.accessioned2026-07-07T12:43:02Z
dc.date.available2026-07-07T12:43:02Z
dc.descriptionIn this paper we show some results on homogeneous CR manifolds, proved by introducing their associated CR algebras. In particular, we give different notions of nondegeneracy (generalizing the usual notion for the Levi form) which correspond to geometrical properties for the corresponding manifolds. We also give distinguished equivariant CR fibrations for homogeneous CR manifolds. In the second part of the paper we apply these results to minimal orbits for the action of a real form of a semisimple Lie group Ĝ on a flag manifold Ĝ/Q.
dc.description14 pages. AMS-LaTeX v2: minor revision
dc.identifierhttps://arxiv.org/abs/math/0510635
dc.identifierhttp://arxiv.org/abs/math/0510635
dc.identifierInt. J. Geom. Methods Mod. Phys. 3, No. 5-6, 1199-1214 (2006)
dc.identifierdoi:10.1142/S0219887806001430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220284
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subjectRings and Algebras
dc.subject32V05 (Primary) 14M15, 17B20, 22E15, 53C30 (Secondary)
dc.titleOn homogeneous CR manifolds and their CR algebras
dc.typetext

Files

Collections